[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$fPwlS_uxBHV5EqWMJOSTF-uLEFTWywDb67AGzzMidc8Q":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":19,"related":20,"source":31,"type":32},[],"2025-06-14 23:20:30",200611765,[8,9,10,11],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5a2a9fccee86806a7083cb829bee848e.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5ddcc106769228bde68989ecfc0b828d.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0dc88bf904566036cdcb0ded80a43cde.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0f61f172017a726bea423454daa6ec79.png\">",{"count":13,"courseId":14,"courseImg":15,"courseName":16,"workId":17,"workName":18},41,"d8de3386b677ac71c5483151c2c5cfd9","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F48eba3395437dd881b1b9275a0ad1028.png","应用数学","work_44082242","练习三","由方程 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fefbf65fddb985488db6285ea5e7bb867.png\"> 确定的隐函数 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F71ba66f6cbb58791b2c109c9a952ff5a.png\"> 的导数为( )",[21,33,42,51,58,67,76,85,88,97],{"answer":22,"createTime":23,"id":24,"options":25,"question":30,"source":31,"type":32},[],"2025-06-14 23:20:29",200611716,[26,27,28,29],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Feb9ff4da5aa6cc47db2dacd2e54a011a.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb8fc8641b970eeb14ec39eb72473c8a7.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd49ab67ebfd4027f385b2203e56f9240.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd7a17f2167efb5fcca7a802b932cc7dd.png\">","函数 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F78b393d12545bd851ec92dfc5bbb39d7.png\"> 的导数为( )","v1",0,{"answer":34,"createTime":5,"id":35,"options":36,"question":41,"source":31,"type":32},[],200611723,[37,38,39,40],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0d451d0f494efd093656225bc466069d.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd5835eac7d6bf4a7047f94a307e0f557.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F639be07f2c005c9d99e1a32a7e7a8f6d.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ffa8fa2bfab68566bb70c9c2dd7654062.png\">","若 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F761a6b8d7b268e70c685178ec7b41acc.png\">,则 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1683957b670287d35e7c4b6eda9ae439.png\"> 为( )",{"answer":43,"createTime":5,"id":44,"options":45,"question":50,"source":31,"type":32},[],200611732,[46,47,48,49],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5adcf6e79b7347151de38d22adad707f.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff58bb7bfbe3fa97fc805c761157d847c.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F703dae31bca39c392864936aa03747ff.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F31fd79fc967868189a9939e697fc38f3.png\">","函数 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F534753b9ce72b46b19b1199160ca871a.png\"> 的导数为( )",{"answer":52,"createTime":5,"id":53,"options":54,"question":57,"source":31,"type":32},[],200611737,[55,56,8,11],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F389ecbf3b69688634c15fe7444ff84fd.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4436eaa79c5083b57a38cbb9deb89f96.png\">","由方程 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fad2573ed46efdfafbd3062f860a1ab62.png\"> 确定的隐函数 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F71ba66f6cbb58791b2c109c9a952ff5a.png\"> 的导数为( )",{"answer":59,"createTime":5,"id":60,"options":61,"question":66,"source":31,"type":32},[],200611742,[62,63,64,65],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe1fd45085cb3bfad4e476d78eff4ba1e.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F67fb6883617cd973776b018bece37c13.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1d1aca465e68267d7dbba5c542187570.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F2aaa5619032312e8e07e906f371bee3c.png\">","函数 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1328491ae0a17c5544f7f2f607d65466.png\"> 的导数是( )",{"answer":68,"createTime":5,"id":69,"options":70,"question":75,"source":31,"type":32},[],200611751,[71,72,73,74],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3e43bc0b6b189a63dc9d4f8b311725c1.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff851f637125e1ff95be4ba4b4e910f2a.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F40829f4cdedac9c64b84e3f504370a6f.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fcf618f9717af7681f10d7b22fe2e0a08.png\">","设 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3b71003136e955d76d4a01113460ba49.png\">,则 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1683957b670287d35e7c4b6eda9ae439.png\"> 等于( )",{"answer":77,"createTime":5,"id":78,"options":79,"question":84,"source":31,"type":32},[],200611758,[80,81,82,83],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4bc0e3e4312ad22f54cee97b2be6f2b3.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F55a1d6865168a9f875b84fa1dac37a25.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F32c2b4f8277ac7c92ad985a015eedc87.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe53f26d232309c245460d500ac7b9375.png\">","设 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1e40d838b4f3da0b1cc8b690d7fda30a.png\">,则 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa101633d10094fe46d5594d19870a57a.png\"> 等于( )",{"answer":86,"createTime":5,"id":6,"options":87,"question":19,"source":31,"type":32},[],[8,9,10,11],{"answer":89,"createTime":5,"id":90,"options":91,"question":96,"source":31,"type":32},[],200611770,[92,93,94,95],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9ba1dba6476cf749717f8094ecc6cb62.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fcb082192f00f4a3d785a759087c9e203.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9b6571b33d32af1ab152398794a132d3.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fffe20ca10d8e532fcc33bb2815caca16.png\">","若 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0372b9fcf0d778548ffe0d8107da6fb3.png\">,则 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0f674b21e7d775731e97bb0d7927a57b.png\"> 为( )",{"answer":98,"createTime":99,"id":100,"options":101,"question":106,"source":31,"type":32},[],"2025-06-14 23:20:31",200611774,[102,103,104,105],"取对数 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F7f0f7b9f64dc4c96a88ab5b00f9eee8b.png\">","直接求导 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fff945013c5a5a04435f1a39ded3ae43a.png\">","写成 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F53c97cf87ec62d97735c5ba7c180ecc9.png\">","对两边积分","用对数求导法求 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F12a438331380293b14c08486fdda94b9.png\"> 的导数时,第一步应( )"]